Conflate is a more formal way to say "mix together." You probably wouldn't say you conflated the ingredients for a cake, but if you blended two different stories together to make a new one, conflate would work.
The verb conflate comes to us from the Latin word conflare, which literally means "to blow together." So think of using this word when you want to talk about two things getting thrown together and combined. Things that have been conflated often seem mixed up or confused, as when you conflate two different ideas, taking parts of one and parts of another to build your own Frankenstein version of things.